Vyacheslav FutornyUniversity of Sydney

Kostant Theorem and Harish-Chandra modules

Friday 2nd, May 12:05-12:55pm,
Stephen Roberts.

We will discuss the general concept of Harish-Chandra modules
defined for an associative algebra and its commutative subalgebra.
In particular we consider an analogue of the Kostant theorem (for a pair
consisting of the universal enveloping algebra of a Lie algebra and its
center) which provides sufficient conditions that guarantee the
extension of any character of the commutative subalgebra to an
irreducible Harish-Chandra module. The results are applied to the
restricted Yangians for gl(n). The talk is based on joint works with
Yu.Drozd, A.Molev and S.Ovsienko.